Details

analyze36.0ms

Algorithm

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	2×	pre	80	false

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5165	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 18.1b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
0.0b	(- 1 (* b (/ b (* a a))))
0.2b	(* b (/ b (* a a)))
18.2b	(/ b (* a a))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
15×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `times-frac` `associate-r`
6×	`add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-l` `sqrt-prod` `associate-/l*`
2×	`div-inv` `unswap-sqr`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `flip--`

Counts

4 → 73

Calls

4 calls:

1.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
3.0ms	(- 1 (* b (/ b (* a a))))
11.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

series25.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt (fabs (- 1 (* b (/ b (* a a))))))
6.0ms	(- 1 (* b (/ b (* a a))))
5.0ms	(* b (/ b (* a a)))
5.0ms	(/ b (* a a))

simplify32.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4973	710
1	4973	710

prune102.0ms

Filtered

54 candidates to 85 candidates (-57.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	3	86

Merged error: 0.0b

Counts

86 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* b (* (/ (sqrt b) a) (/ (sqrt b) a)))
0.3b	(/ (sqrt b) a)
0.3b	(/ (sqrt b) a)
0.6b	(* (/ (sqrt b) a) (/ (sqrt b) a))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

134×	`add-sqr-sqrt`
132×	`times-frac`
91×	`add-cube-cbrt` `*-un-lft-identity`
72×	`sqrt-prod`
38×	`add-exp-log` `add-cbrt-cube`
28×	`swap-sqr`
25×	`associate-l`
23×	`associate-r`
16×	`pow1`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-/l*`
10×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`associate-/r*` `div-inv`
5×	`associate-*r/`
4×	`pow-prod-down` `add-log-exp`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 211

Calls

4 calls:

12.0ms	(* b (* (/ (sqrt b) a) (/ (sqrt b) a)))
4.0ms	(/ (sqrt b) a)
4.0ms	(/ (sqrt b) a)
19.0ms	(* (/ (sqrt b) a) (/ (sqrt b) a))

series37.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* b (* (/ (sqrt b) a) (/ (sqrt b) a)))
10.0ms	(/ (sqrt b) a)
10.0ms	(/ (sqrt b) a)
7.0ms	(* (/ (sqrt b) a) (/ (sqrt b) a))

simplify62.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4967	1998
1	4967	1998

prune203.0ms

Filtered

133 candidates to 223 candidates (-67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	223	0	223
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	223	3	226

Merged error: 0.0b

Counts

226 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* b (/ 1 (* a (/ a b)))))
0.2b	(* b (/ 1 (* a (/ a b))))
0.3b	(* a (/ a b))
0.3b	(/ 1 (* a (/ a b)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
32×	`add-cbrt-cube`
24×	`add-sqr-sqrt` `prod-exp`
21×	`associate-r`
19×	`div-exp`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`times-frac`
11×	`pow1`
10×	`cbrt-unprod`
9×	`cbrt-undiv`
6×	`rec-exp` `1-exp` `associate-l` `add-log-exp`
4×	`associate-*r/`
3×	`pow-prod-down` `div-inv` `associate-/l*` `unswap-sqr`
2×	`pow-flip` `associate-/r/` `*-commutative`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `flip--` `inv-pow`

Counts

4 → 113

Calls

4 calls:

4.0ms	(- 1 (* b (/ 1 (* a (/ a b)))))
10.0ms	(* b (/ 1 (* a (/ a b))))
7.0ms	(* a (/ a b))
6.0ms	(/ 1 (* a (/ a b)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(- 1 (* b (/ 1 (* a (/ a b)))))
5.0ms	(* b (/ 1 (* a (/ a b))))
3.0ms	(* a (/ a b))
4.0ms	(/ 1 (* a (/ a b)))

simplify63.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4933	861
1	4933	861

prune115.0ms

Filtered

70 candidates to 125 candidates (-78.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Merged error: 0.0b

Counts

128 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1 (* (/ (pow b 3/2) a) (/ (sqrt b) a)))
0.3b	(/ (sqrt b) a)
0.3b	(* (/ (pow b 3/2) a) (/ (sqrt b) a))
26.3b	(/ (pow b 3/2) a)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-sqr-sqrt`
95×	`times-frac`
62×	`add-cube-cbrt` `*-un-lft-identity`
35×	`add-exp-log`
25×	`associate-l` `sqrt-prod`
24×	`unpow-prod-down`
22×	`associate-r`
20×	`add-cbrt-cube`
14×	`div-exp`
13×	`associate-/l*`
12×	`unswap-sqr`
10×	`sqr-pow`
8×	`prod-exp`
6×	`pow1` `cbrt-undiv` `associate-/r*` `add-log-exp`
4×	`cbrt-unprod` `div-inv`
3×	`pow-to-exp` `pow-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--`

Counts

4 → 178

Calls

4 calls:

3.0ms	(- 1 (* (/ (pow b 3/2) a) (/ (sqrt b) a)))
4.0ms	(/ (sqrt b) a)
20.0ms	(* (/ (pow b 3/2) a) (/ (sqrt b) a))
5.0ms	(/ (pow b 3/2) a)

series49.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(- 1 (* (/ (pow b 3/2) a) (/ (sqrt b) a)))
10.0ms	(/ (sqrt b) a)
13.0ms	(* (/ (pow b 3/2) a) (/ (sqrt b) a))
12.0ms	(/ (pow b 3/2) a)

simplify61.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4944	2044
1	4944	2044

prune261.0ms

Filtered

139 candidates to 190 candidates (-36.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	190	3	193

Merged error: 0.0b

Counts

193 → 3

regimes74.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	15
1	52	15

end0.0ms

sample566.0ms

Algorithm

intervals

Results

277.0ms	8000×	body	80	valid
148.0ms	8000×	pre	80	true
3.0ms	142×	pre	80	false

Details

analyze36.0ms

sample21.0ms

simplify52.0ms

prune7.0ms

localize8.0ms

rewrite22.0ms

series25.0ms

simplify32.0ms

prune102.0ms

localize9.0ms

rewrite51.0ms

series37.0ms

simplify62.0ms

prune203.0ms

localize9.0ms

rewrite31.0ms

series18.0ms

simplify63.0ms

prune115.0ms

localize15.0ms

rewrite39.0ms

series49.0ms

simplify61.0ms

prune261.0ms

regimes74.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample566.0ms

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